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Finding the Fourth Proportional to 48,122.75, 72,182.91 and 13,061.50

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Solution

The fourth proportional to 48,122.75, 72,182.91 and 13,061.50 is: 19,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122.75 : 72,182.91 = 13,061.50 : x
  2. Step 2: Convert to fraction form
    48,122.75/72,182.91 = 13,061.50/x
  3. Step 3: Cross multiply
    48,122.75x = 72,182.91 × 13,061.50
  4. Step 4: Simplify right side
    48,122.75x = 942,816,718.05
  5. Step 5: Solve for x
    x = 942,816,718.05/48,122.75
  6. Step 6: Final answer
    x = 19,591.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.